It is well known that domain representable spaces, that is topological spaces that are homeomorphic to the space of maximal elements of some domain, must be Baire. In this paper it is shown that every linearly ordered topological space (LOTS) is homeomorphic to an open dense subset of a weak domain representable space. This means that weak domain representable spaces need not be Baire.
Copyright © 2009, Topology Proceedings.
Weak domain, weak domain representable, linearly ordered topological space, Baire, domain, domain representable
Mashburn, Joe, "Linearly Ordered Topological Spaces and Weak Domain Representability" (2010). Mathematics Faculty Publications. 20.